1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makvit [3.9K]
3 years ago
5

Can somebody help teach me how to solve quadratic equations? I have no idea what to plug in. Here are some examples of what I ne

ed to solve (attached). Any help would be appreciated!

Mathematics
1 answer:
guapka [62]3 years ago
4 0
The best method that will work for any quadratic equation is to use the quadratic formula: x = (-b±√(b² - 4ac))/2a, this will work for any quadratic of the form ax² + bx + c = 0.

As for the last equation in the attachment, that is a cubic equation, these are much trickier to solve and as such the formula is much longer and very complicated. Therefore it is easier to see if it can be broken down into a linear term and a quadratic. This can be done by substituting integer values of x into the equation to see if it holds true. If both sides of the equation are equal for a given value of x then the equation ax³ + bx² + cx + d can be rewritten as (Ax + B)(px² + qx + r). This can then be put into the quadratic formula mentioned above.
You might be interested in
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

6 0
3 years ago
The diagram shows two rectangles which have the same area . Find the value of y.​
jeka57 [31]

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

7 0
3 years ago
HELPPPPPP
iogann1982 [59]

Answer:

THE ANSWER IS B

Step-by-step explanation:

NO EXPLANATION JUST TRUST ME

5 0
3 years ago
6 multiplied 5 =3 multiple
Vikki [24]

that is false that doesent equal 3 multiple


4 0
3 years ago
Cho ma trận 4 1 21 0 13 2 1A= −−−−Tính 25AI−Câu 2(3điểm)Tìm ma trận nghịch đảo của ma trận sau−=123020112ACâ
andriy [413]

Hi can you translate into English then I would be happy to help

4 0
3 years ago
Other questions:
  • which of the equations is not a linear equation? a. -4v + 2w = 7 b. x/4 = y c. x = -5 d. 2/x + 3/y = 6
    13·1 answer
  • Rename 780,000 = 78 ______
    13·2 answers
  • A lot of 119 semiconductor chips contains 28 that are defective. Round your answers to four decimal places (e.g. 98.7654). a) Tw
    14·1 answer
  • A child born today will see more than _____________ advertisements in their life.
    6·1 answer
  • Please help thanks :)
    15·1 answer
  • Solve 7b 3 - 4b = 3 - 3 (b 4)
    14·1 answer
  • The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you
    7·1 answer
  • The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length
    5·2 answers
  • *please don’t answer if you aren’t going to be serious or answer everything *
    6·1 answer
  • On the most recent math test, Ashley
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!